A non-discrete space $X$ with $C_p(X)$ Menger at infinity
General Topology
2020-01-20 v1
Abstract
In a paper by Bella, Tokg\"os and Zdomskyy it is asked whether there exists a Tychonoff space such that the remainder of in some compactification is Menger but not -compact. In this paper we prove that it is consistent that such space exists and in particular its existence follows from the existence of a Menger ultrafilter.
Keywords
Cite
@article{arxiv.1809.05508,
title = {A non-discrete space $X$ with $C_p(X)$ Menger at infinity},
author = {Angelo Bella and Rodrigo Hernández-Gutiérrez},
journal= {arXiv preprint arXiv:1809.05508},
year = {2020}
}